document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=839668>Question 839668</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the area of a right triangle when the hypotenuse is 5 cm long and one angle is pi/10 ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #505801 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=505801\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> see the following diagram:\r<BR>\n" );
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document.write( "A is your angle.<BR>\n" );
document.write( "sine(A) is equal to a/c.<BR>\n" );
document.write( "cosine(A) is equal to b/c.\r<BR>\n" );
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document.write( "solve for a and b and you get:\r<BR>\n" );
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document.write( "a = c * sine (A)<BR>\n" );
document.write( "b = c * cosine (A)\r<BR>\n" );
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document.write( "a is the height of your triangle.<BR>\n" );
document.write( "b is the base of your triangle.\r<BR>\n" );
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document.write( "the area of the triangle is equal to 1/2 * base * height which becomes:\r<BR>\n" );
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document.write( "area of the triangle is equal to 1/2 * b * a which becomes:\r<BR>\n" );
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document.write( "area of the triangle is equal to 1/2 * c * cosine (A) * c * sine (A).\r<BR>\n" );
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document.write( "this can be simplified to:\r<BR>\n" );
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document.write( "area of the triangle is equal to 1/2 * c^2 * cosine (A) * sine (A).\r<BR>\n" );
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document.write( "replace c with 5 and replace A with pi/10 and you get:\r<BR>\n" );
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document.write( "area of the triangle is equal to 1/2 * 5^2 * cosine (pi/10) * sine (pi/10).\r<BR>\n" );
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document.write( "use your calculator to find sine and cosine (pi/10).   the angle should be in radians.   if you want to work in degrees, then convert angle in radians to angle in degrees by multiplying the angle in radians by 180 / pi.   you will get pi/10 * 180 / pi = 18 degrees.\r<BR>\n" );
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document.write( "anyway, regardless of whether you are working in degrees or radians, you will get:\r<BR>\n" );
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document.write( "area of the triangle is equal to 1/2 * 25 * .951056516 * .309016994 which is equal to 3.673657827 which you can round to 3.67\r<BR>\n" );
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document.write( " </SPAN>\n" );
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